Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 6900.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6900.i1 | 6900g1 | \([0, 1, 0, 19173467, 14119067063]\) | \(194879272239195815936/134287459716796875\) | \(-537149838867187500000000\) | \([]\) | \(1048320\) | \(3.2420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6900.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6900.i do not have complex multiplication.Modular form 6900.2.a.i
sage: E.q_eigenform(10)